<< Chapter < Page  Chapter >> Page > 
1.3 2 648 ÷ 42  1.4 9 850 ÷ 50 
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2. Now use any method of your choice and calculate:
2.1 15 350 ÷ 45  2.2 32 648 ÷ 28 
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Learning outcomes(LOs) 
LO 1 
Numbers, Operations and RelationshipsThe learner will be able to recognise, describe and represent numbers and their relationships, and to count, estimate, calculate and check with competence and confidence in solving problems. 
Assessment standards(ASs) 
We know this when the learner: 
1.2 describes and illustrates various ways of writing numbers in different cultures (including local) throughout history; 
1.3 recognises and represents numbers in order to describe and compare them: 
1.3.6 multiples of singledigit numbers to at least 100; 
1.3.7 factors of at least any 2digit whole number; 
1.6 solves problems in context including contexts that may be used to build awareness of other Learning Areas, as well as human rights, social, economic and environmental issues; 
1.6.1 financial (including buying and selling, profit and loss, and simple budgets); 
1.8 estimates and calculates by selecting and using operations appropriate to solving problems: 
1.8.1 rounding off to the nearest 5, 10, 100 or 1 000; 
1.8.4 multiplication of at least whole 3digit by 2digit numbers; 
1.8.5 division of at least whole 3digit by 2digit numbers; 
1.9 performs mental calculations: 
1.9.2 multiplication of whole numbers to at least 10 × 10; 
1.10 uses a range of techniques to perform written and mental calculations with whole numbers: 
1.10.1 adding and subtracting in columns; 
1.10.4 doubling and halving; 
1.10.5 using a calculator; 
1.11 uses a range of strategies to check solutions and judge the reasonableness of solutions; 
1.12 recognises, describes and uses:1.12.1 the reciprocal relationship between multiplication and division (e.g. if 5 × 3 = 15 then 15 3 = 5 and 15 5 = 3);1.12.3 The commutative, associative and distributive properties with whole numbers (the expectation is that learners should be able to use the properties and not necessarily know the names). 
LU 2 
Patterns, functions and algebraThe learner will be able to recognise, describe and represent patterns and relationships, as well as to solve problems using algebraic language and skills. 
We know this when the learner: 
2.2 describes observed relationships or rules in own words; 
2.6 determines, through discussion and comparison, the equivalence of different descriptions of the same relationship or rule presented:

ACTIVITY 1
3.1
34  
2  4  4  6  2  7 
3.2
61  
Res  1  1  5  5  6  1 
4. 4.1 20 4.11 72
4.2 48 4.12 54
4.3 6 4.13 306
4.4 9 4.14 243 $\frac{1}{2}$
4.5 56 4.15 518
4.6 72 4.16 36
4.7 7 4.17 48
4.8 70 4.18 12
4.8 7 4.19 9
4.10 70 4.20 40
ACTIVITY 2
1.1 26 26
1.2 30 30
ACTIVITY 3
1.1 5
1.2 86
1.3 359
1.4 4 625
1.5 32 174
2. When any number is divided by 1, the answer always remains the number
BRAIN TEASERS
$\frac{1}{\text{86}}$
Fractions
3. 3.1 O E 3.2 O E
3.3 O E 3.4 O E
3.5 O E
4. Shows “Error” (Answer is incorrect)
BRAIN TEASERS
45
216
ACTIVITY 4
1.1 a) 10
14 $\frac{2}{7}$
ACTIVITY 5
1.
2  5  9  12  147  256  1 438  2 652 
O falls away. Each number moves one place to the right.
2.
3  8  12  26  147  325 
2 Noughts fall away. Each number moves two places to the right.
3.
5  7  13  45  126  382 
3 Noughts falls away. Each number moves three places to the right.
2. 2.1 = (1 380 $$ 110) $$ 6
= 138 $$ 6
= 23
2.2 = (32 840 $$ 10) $$ 4
= 3 284 $$ 4
= 821
2.3 = (15 500 $$ 100) $$ 5
= 155 $$ 5
= 31
2.4 = (312 300 $$ 100) $$ 3
= 3 123
= 1 041
3. 3.1 = 105 $$ 3 $$ 7 3.2 = 216 $$ 4 $$ 6
= 35 $$ 7 = 54 $$ 6
= 5 = 9
3.3 = 432 $$ 8 $$ 3 3.4 = 126 $$ 2 $$ 7
= 54 $$ 3 = 63 $$ 7
= 18 = 9
5. 5.1 = (3 000 + 45 ) $$ 15
= ( 3 000 $$ 15) + ( 45 $$ 15
= 200 + 3
= 203
5.2 = (2 000 + 500 + 75 ) $$ 25
= (2 000 $$ 25) + ( 500 $$ 25 ) + ( 75 $$ 25 )
= 80 + 20 + 3
= 103
ACTIVITY 8
1.
a) 2  
b) 6  
c)  20  
d)  175  
e)  400 
ACTIVITY 12
186 250
1.1 $\text{25}\mid \overline{\text{4650}}$ 1.2 $\text{21}\mid \overline{\text{5250}}$
25 42
215 105
200 105
150 0
150 0
… .
1.3 63 1.4
197
252
128
126
2
63 rem 2
2.1 341 rem 5 2.2 1 166
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